Finding the Third Proportional to 4,288.50 and 7,328.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,288.50 : 7,328.25 = 7,328.25 : x
2. Step 2: Convert to fraction form
   4,288.50/7,328.25 = 7,328.25/x
3. Step 3: Cross multiply
   4,288.50x = 7,328.25 × 7,328.25
4. Step 4: Simplify right side
   4,288.50x = 53,703,248.06
5. Step 5: Solve for x
   x = 53,703,248.06/4,288.50
6. Step 6: Final answer
   x = 12,522.62